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Finding the Fourth Proportional to 187.29, 280.14 and 165.09

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Solution

The fourth proportional to 187.29, 280.14 and 165.09 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.29 : 280.14 = 165.09 : x
  2. Step 2: Convert to fraction form
    187.29/280.14 = 165.09/x
  3. Step 3: Cross multiply
    187.29x = 280.14 × 165.09
  4. Step 4: Simplify right side
    187.29x = 46,248.31
  5. Step 5: Solve for x
    x = 46,248.31/187.29
  6. Step 6: Final answer
    x = 246.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.